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Symmetry Breaking, Coexisting Bubbles, Multistability, and Its Control for a Simple Jerk System with Hyperbolic Tangent Nonlinearity
المؤلفون المشاركون
Kengne, J.
Kengne, Léandre Kamdjeu
Mboupda Pone, Justin Roger
Kamdem Tagne, Hervé Thierry
المصدر
العدد
المجلد 2020، العدد 2020 (31 ديسمبر/كانون الأول 2020)، ص ص. 1-24، 24ص.
الناشر
Hindawi Publishing Corporation
تاريخ النشر
2020-04-23
دولة النشر
مصر
عدد الصفحات
24
التخصصات الرئيسية
الملخص EN
Symmetry is an important property found in a large number of nonlinear systems.
The study of chaotic systems with symmetry is well documented.
However, the literature is unfortunately very poor concerning the dynamics of such systems when their symmetry is altered or broken.
In this paper, we investigate the dynamics of a simple jerk system with hyperbolic tangent nonlinearity (Kengne et al., Chaos Solitons, and Fractals, 2017) whose symmetry is broken by adding a constant term modeling an external excitation force.
We demonstrate that the modified system experiences several unusual and striking nonlinear phenomena including coexisting bifurcation branches, hysteretic dynamics, coexisting asymmetric bubbles, critical transitions, and multiple (i.e., up to six) coexisting asymmetric attractors for some suitable ranges of system parameters.
These features are highlighted by exploiting common nonlinear analysis tools such as graphs of largest Lyapunov exponent, bifurcation diagrams, phase portraits, and basins of attraction.
The control of multistability is investigated by using the method of linear augmentation.
We demonstrate that the multistable system can be converted to a monostable state by smoothly adjusting the coupling parameter.
The theoretical results are confirmed by performing a series of PSpice simulations based on an electronic analogue of the system.
نمط استشهاد جمعية علماء النفس الأمريكية (APA)
Kengne, Léandre Kamdjeu& Kengne, J.& Mboupda Pone, Justin Roger& Kamdem Tagne, Hervé Thierry. 2020. Symmetry Breaking, Coexisting Bubbles, Multistability, and Its Control for a Simple Jerk System with Hyperbolic Tangent Nonlinearity. Complexity،Vol. 2020, no. 2020, pp.1-24.
https://search.emarefa.net/detail/BIM-1140908
نمط استشهاد الجمعية الأمريكية للغات الحديثة (MLA)
Kengne, Léandre Kamdjeu…[et al.]. Symmetry Breaking, Coexisting Bubbles, Multistability, and Its Control for a Simple Jerk System with Hyperbolic Tangent Nonlinearity. Complexity No. 2020 (2020), pp.1-24.
https://search.emarefa.net/detail/BIM-1140908
نمط استشهاد الجمعية الطبية الأمريكية (AMA)
Kengne, Léandre Kamdjeu& Kengne, J.& Mboupda Pone, Justin Roger& Kamdem Tagne, Hervé Thierry. Symmetry Breaking, Coexisting Bubbles, Multistability, and Its Control for a Simple Jerk System with Hyperbolic Tangent Nonlinearity. Complexity. 2020. Vol. 2020, no. 2020, pp.1-24.
https://search.emarefa.net/detail/BIM-1140908
نوع البيانات
مقالات
لغة النص
الإنجليزية
الملاحظات
Includes bibliographical references
رقم السجل
BIM-1140908
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